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23436004280 = 23513534311973
BaseRepresentation
bin10101110100111001…
…010000101110111000
32020111021222101000112
4111310321100232320
5340444104114110
614433310523452
71456523515043
oct256471205670
966437871015
1023436004280
119a37016987
124660806588
1322964c8670
1411c4785c5a
15922736405
hex574e50bb8

23436004280 has 128 divisors (see below), whose sum is σ = 58022334720. Its totient is φ = 8466032640.

The previous prime is 23436004253. The next prime is 23436004331. The reversal of 23436004280 is 8240063432.

It is a super-2 number, since 2×234360042802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11877374 + ... + 11879346.

It is an arithmetic number, because the mean of its divisors is an integer number (453299490).

Almost surely, 223436004280 is an apocalyptic number.

23436004280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23436004280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29011167360).

23436004280 is an abundant number, since it is smaller than the sum of its proper divisors (34586330440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23436004280 is a wasteful number, since it uses less digits than its factorization.

23436004280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 23436004280 in words is "twenty-three billion, four hundred thirty-six million, four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 431 520 530 689 862 1060 1378 1724 1973 2120 2155 2756 3445 3448 3946 4310 5512 5603 6890 7892 8620 9865 11206 13780 15784 17240 19730 22412 22843 25649 27560 28015 39460 44824 45686 51298 56030 78920 91372 102596 104569 112060 114215 128245 182744 205192 209138 224120 228430 256490 296959 418276 456860 512980 522845 593918 836552 850363 913720 1025960 1045690 1187836 1359397 1484795 1700726 2091380 2375672 2718794 2969590 3401452 4182760 4251815 5437588 5939180 6796985 6802904 8503630 10875176 11054719 11878360 13593970 17007260 22109438 27187940 34014520 44218876 45069239 54375880 55273595 88437752 90138478 110547190 180276956 221094380 225346195 360553912 442188760 450692390 585900107 901384780 1171800214 1802769560 2343600428 2929500535 4687200856 5859001070 11718002140 23436004280